$ \begin{cases}  \frac{1}{9} = \frac{8 \times 3}{72 \times 3} = \frac{24}{216} \\  \frac{1}{8} = \frac{9 \times 3}{72 \times 3} = \frac{27}{216}  \end{cases} \Rightarrow \frac{24}{216} \lt \frac{25}{216} \lt \frac{26}{216} \lt \frac{27}{216} \\ \frac{1}{9} \lt \frac{1+1}{9+8} \lt \frac{1}{8} \Rightarrow \frac{1}{9} \lt \frac{2}{17} \lt \frac{1}{8} $